ALL FORMULA FOR MATH, Study notes of Mathematics

This formula is a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal to sign. When you know the value of one quantity, you can find the value of the other using the formula.

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2020/2021

Available from 09/05/2021

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BASIC ALGEBRA (a b)? = a? + 2Qab + b (a b)? = a? — 2ab + b? a? — b? = (a+ b)(a — b) + a? + b* =(a — b)2+2ab + b+ co)? = a? + 62+ c2 + 2Cab + be + ac) oe (a -b- cc)? = a? + b? + c#- 2(ab- be + ac) (a+ b)*® = a5 + bo + Sabla+ b) Ca b)> a? — b? — Baba — Bb) a? — b? = (a — b)(a2 + ab + Bb?) a? + b? = (a+ b)(a? — ab + By at - b* = (a2 - b*) (a? + b2)= (a — b) (a + Bb) (az + Bb) (a - Bb) (a4 + acb +a7b2+ab5+b4) (a + b)(at - atb +a2b?-ab7+b7) (a+b) (a?—t-an—2b+a"—*b2-...-ab—2+b"—1) Area of Square = az Area of rectangle = ab Area of parallelogram = bh Area of trapezoid = h/2 (b1 + b2) Area circle = 1t_r= Area Teed re Area of triangle = (1/2).base*height Area of equilateral triangle = (1/2)ah or v3/4a= Area of triangle given SAS (two sides and the opposite angle) = (1/2) ab sinc Area of triangle given a,b,c = Vs(s-a)(s-b)(s-c) when s = (a+b+c)/2 (Heron's formula) Area of regular polygon = (1/2) nm sin(360°/n) S? when n = # of sides and S = length from center to a corner Area of Sphere = 4nr2 Area of Semi- Circle= (1/2)1mtr2 Volume of cube = a? Volume of rectangular prism = a.b.c Volume of irregular prism = b.h Volume of cylinder = b.h = 1t.r?.h Volume of pyramid = (1/3)b.h Volume of cone = (1/3) bh = 1/3 1. Volume of sphere = (4/3) m.r? volume of ellipsoid = (4/3) 1 r1.-r2.r3 volume of Cuboid= Lbh Volume of Hemisphere = (2/3)mr Surface Area of a Cube = 6 a*® Surface Area of a Rectangular Prism = 2ab + 2bc + Bac Surface Area of a Sphere = 4 rt r Surface Area of a Cylinder 2Qmure+eo2nerh Surface Area of Cuboid = 2 (ib+bh+hl) Surface Area of Cone = mrci+r) Surface Area of Hemisphere = 3rmr= Diameter = 2 x radius of circle Circumference of Circle = 1 x diameter = 2 1m x radius of square = 4a rectangle = 2a + 2b triangle of circle